Next Article in Journal
Sustainable Energy Performance Optimization of Occupancy Sensor Placement in Smart Lighting Systems for University Classrooms
Previous Article in Journal
A Disaster-Recovery Typology Framework: Conceptual Development and Application to Sustainable Recovery Planning
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Vehicle Heterogeneity-Aware Cooperative Dynamic Bus Control Based on Multi-Agent Reinforcement Learning for System–Individual Synergy

1
The School of Mechanical and Electrical Engineering, North University of China, Taiyuan 030051, China
2
The School of Electrical and Control Engineering, North University of China, Taiyuan 030051, China
*
Author to whom correspondence should be addressed.
Sustainability 2026, 18(11), 5770; https://doi.org/10.3390/su18115770 (registering DOI)
Submission received: 7 May 2026 / Revised: 29 May 2026 / Accepted: 3 June 2026 / Published: 5 June 2026

Abstract

Under the trend of intelligent transportation and connected vehicles, real-time control plays a vital role in improving bus system efficiency. Existing bus control strategies typically treat buses as homogeneous points and achieve system equilibrium by maintaining consistent headways. However, this simplification overlooks differences in dynamic responses and the evolution of powertrain lifespan arising from vehicle heterogeneity. It converts the sparse constraint problem, which is intended to ensure timely arrival, into a hard constraint on the vehicle trajectory over the entire time horizon, thereby excessively restricting individual optimal evolutionary paths and causing the optimization process to become trapped in a local optimum. To this end, this paper proposes SMATD3, a multi-agent cooperative control algorithm that accounts for vehicle heterogeneity. By adopting a centralized training and decentralized execution paradigm and avoiding the specification of a fixed inter-vehicle spacing target, the algorithm enables each vehicle to adaptively adjust its speed control strategy according to its own dynamic characteristics, thereby achieving the coordinated optimization of system equilibrium and individual objectives. The simulation results indicate that the proposed method can effectively suppress bus tailgating and achieve the coordinated multi-objective optimization of operational stability, passenger travel efficiency, energy consumption, and battery health. From a sustainability perspective, improved headway regularity and service reliability can enhance public transit attractiveness and support mode shift, while smoother energy use and reduced battery degradation lower lifecycle impacts.
Keywords: bus bunching; reinforcement learning; adaptive cruise control; energy management bus bunching; reinforcement learning; adaptive cruise control; energy management

Share and Cite

MDPI and ACS Style

Zhang, H.; Wang, H.; Dong, H.; Ding, Z.; Xiong, R.; Xu, H. Vehicle Heterogeneity-Aware Cooperative Dynamic Bus Control Based on Multi-Agent Reinforcement Learning for System–Individual Synergy. Sustainability 2026, 18, 5770. https://doi.org/10.3390/su18115770

AMA Style

Zhang H, Wang H, Dong H, Ding Z, Xiong R, Xu H. Vehicle Heterogeneity-Aware Cooperative Dynamic Bus Control Based on Multi-Agent Reinforcement Learning for System–Individual Synergy. Sustainability. 2026; 18(11):5770. https://doi.org/10.3390/su18115770

Chicago/Turabian Style

Zhang, Hailong, Haidi Wang, Hanxuan Dong, Zehui Ding, Renjie Xiong, and Hui Xu. 2026. "Vehicle Heterogeneity-Aware Cooperative Dynamic Bus Control Based on Multi-Agent Reinforcement Learning for System–Individual Synergy" Sustainability 18, no. 11: 5770. https://doi.org/10.3390/su18115770

APA Style

Zhang, H., Wang, H., Dong, H., Ding, Z., Xiong, R., & Xu, H. (2026). Vehicle Heterogeneity-Aware Cooperative Dynamic Bus Control Based on Multi-Agent Reinforcement Learning for System–Individual Synergy. Sustainability, 18(11), 5770. https://doi.org/10.3390/su18115770

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop